1. Dynamically Similar Motion of Two Miscible Constituents in Porous Mediums.
- Author
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Raats, P. A. C. and Scotter, D. R.
- Abstract
This study concerns the simultaneous motion of pairs of miscible constituents in porous mediums. Geometrically similar porous mediums are considered, and conditions for dynamic similarity are sought. It is found that in general the constituent pairs must have the same Schmidt number. Fortunately, this restriction does not apply if the inertial terms in the Navier-Stokes equations are negligible. Two special cases are considered: (1) steady, creeping mean motion, and (2) oscillatory mean motion. It is pointed out that the dispersion arising in the first case can often be described macroscopically in terms of a dispersivity, and it is shown that such a dispersivity must be a unique function of the microscopic Peclet number. Some theoretical and experimental examples of this dependency are discussed. In the second case, the dispersion at appropriately scaled positions and times will also depend upon the dimensionless amplitude of the displacement. [ABSTRACT FROM AUTHOR]
- Published
- 1968
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